Generating function
$$U_{280}(x, y) = \frac{- y - \sqrt{- 4 x^{2} + y^{2} - 2 y + 1} + 1}{2 x^{2}}$$
Explicit formula
$$T_{280}(n, m, k) = \frac{k \left(\left(-1\right)^{n} + 1\right) {\binom{k + n}{\frac{n}{2}}} {\binom{k + m + n - 1}{m}}}{2 k + 2 n}$$
1 | 1 | 1 | 1 | 1 | 1 | 1 |
0 | 0 | 0 | 0 | 0 | 0 | 0 |
1 | 3 | 6 | 1 | 15 | 21 | 28 |
0 | 0 | 0 | 0 | 0 | 0 | 0 |
2 | 1 | 3 | 7 | 14 | 252 | 42 |
0 | 0 | 0 | 0 | 0 | 0 | 0 |
5 | 35 | 14 | 42 | 105 | 231 | 462 |
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